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Finding the Fourth Proportional to 200.21, 301.04 and 164.21

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Solution

The fourth proportional to 200.21, 301.04 and 164.21 is: 246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.21 : 301.04 = 164.21 : x
  2. Step 2: Convert to fraction form
    200.21/301.04 = 164.21/x
  3. Step 3: Cross multiply
    200.21x = 301.04 × 164.21
  4. Step 4: Simplify right side
    200.21x = 49,432.96
  5. Step 5: Solve for x
    x = 49,432.96/200.21
  6. Step 6: Final answer
    x = 246.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.